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13004220 = 2235732969
BaseRepresentation
bin110001100110…
…110110111100
3220110200102210
4301212312330
511312113340
61142420420
7215351115
oct61466674
926420383
1013004220
117382299
124431710
132904108
141a2720c
15121d180
hexc66dbc

13004220 has 48 divisors (see below), whose sum is σ = 36923040. Its totient is φ = 3419136.

The previous prime is 13004207. The next prime is 13004261. The reversal of 13004220 is 2240031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13004196 and 13004205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2896 + ... + 5864.

It is an arithmetic number, because the mean of its divisors is an integer number (769230).

Almost surely, 213004220 is an apocalyptic number.

13004220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13004220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18461520).

13004220 is an abundant number, since it is smaller than the sum of its proper divisors (23918820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13004220 is a wasteful number, since it uses less digits than its factorization.

13004220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 13004220 is about 3606.1364366868. The cubic root of 13004220 is about 235.1589086667.

Adding to 13004220 its reverse (2240031), we get a palindrome (15244251).

The spelling of 13004220 in words is "thirteen million, four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 2969 4380 5938 8907 11876 14845 17814 29690 35628 44535 59380 89070 178140 216737 433474 650211 866948 1083685 1300422 2167370 2600844 3251055 4334740 6502110 13004220